Answer:
Step-by-step explanation:
Given that wheat Production In Example 7 of Section 2.4, the U.S. corn production (in billions of bushels) was modeled by the function
[tex]p(t)=1.0757(1.0248)^t[/tex] where t was the time (in years) since 1930.
a) To find where t was the time (in years) since 1930.
The average value of any function f(x) in the interval (a,b) is given by
[tex]\frac{1}{b-a} \int\limits^a_b {f(x)} \, dx[/tex]
We have1930 to 50 as t =0 to 20
[tex]\frac{1}{20} \int\limits^20_0 {1.0757(1.0248)^t} \, dt[/tex]
=[tex]1.0757 (1.0248)^t)/ln (1.0248)\\= 43.911(1.63224-1)\\=27.762[/tex]
b) Here only limits change from 70 to 80
[tex]1.0757 (1.0248)^t)/ln (1.0248)\\= 43.911(1.63224-1)\\=6.772[/tex]
